Question

cum aflu laturile triunghiului echilateral daca inaltimea e 9÷√3 ?

Answer 1

h=L√3/2   ⇒ 9/√3=L√3/2 ⇒18=3L ⇒L=18/3 ⇒ L= 6 cm

Answer 2

$h^{2}=a^2-( \frac{a}{2})^2 \\ (\frac{9}{ \sqrt{3} })^2=a^2- \frac{a^2}{4} \\ \frac{81}{3}= \frac{3a^2}{4} \\ 27= \frac{3a^2}{4} \\ a^2= \frac{27*4}{3} \\ a^2=36 \\ a=6$